Would someone please check my answers to this problem:

Question

Would someone please check my answers to this problem:

The license fee for a car varies directly with the value of the car. The fee for a car that is valued at $19,500 is $292.50.

What is the constant of proportionality? My answer is: .105 cents per every one dollar of car value.

Write the equation that shows the license fee as a function on the value of the car. My answer is: License fee=Y and car value = x. y=.105 x

If you were to draw the graph of this function, what would be the slope of the line? My answer is: m=.105

If you were to draw the graph of this function, what would be the y-intercept. My answer is: The y intercept would be 0.

At this rate, what is the license fee for a car that is valued at $25,400. My answer is $381.00

set up proportion

19500/292.50 = 1/x

solve for x

x= 0.015

Now do your function

Looks good, but you probably meant to type 0.015 instead of .105

Did I answer all the parts correctly?

Answer 1

Yes, you provided the correct answers to all the parts of the problem. You correctly determined that the constant of proportionality is $0.015 (or 0.015 cents per every one dollar of car value). You also correctly wrote the equation that shows the license fee as a function of the value of the car, which is y = 0.015x. Furthermore, you correctly identified that the slope of the line representing the graph of this function is 0.015, and the y-intercept is 0. Lastly, you calculated the license fee for a car valued at $25,400 to be $381, which is also correct based on the given information and the equation y = 0.015x. Well done!